Answer:
[tex]m=\frac{4}{5}[/tex]
Step-by-step explanation:
add y to both sides
[tex]2x+4y+y=6x[/tex]
add 4y and y
[tex]2x+5y=6x[/tex]
subtract 2x from both sides
[tex]5y=6x-2x[/tex]
subtract 2x from 6x
[tex]5y=4x[/tex]
divide each term by 5
[tex]\frac{5y}{5} =\frac{4x}{5}[/tex]
cancel common factor
[tex]y=\frac{4x}{5}[/tex]
reorder the term x
[tex]y=\frac{4}{5}x[/tex]
using the slope-intercept form, the slope is [tex]\frac{4}{5}[/tex]
